Two-Point Form: Examples

This lesson will cover a few examples involving the two-point form of the equation of a straight line.

I’ll start with an easy one.

Example 1 Find the equation of the line passing through (2,4) and (4,2).

Solution No need for much explanation here. We have the two points, and we know the two-point form of the equation. Therefore the required equation is y – 4 = \(\frac{(2 – 4)}{(4-2)}\) ( x – 2) or x + y – 6 = 0

(ii) What about this one? You guessed it right ! The angle bisector will also pass through the incenter of the triangle which will be (1, 1) (I’ve skipped all the calculations. Go back here for the formulas)